Probability and Counting Methods

Homecoming has 7 candidates for King. How many ways can a King and a First Runner-up be chosen to form the Festival Court?

• 23

• 840

• 42

• 3,628,800

Picking a President, Vice-President, and Secretary from a group of 12.

• Permutation

• Combination

Determine whether the following scenarios are a permutation or a combination:
 
Selecting a lead and an understudy for a school play.

• Combination

• Permutation

How many ways can a club select a president, vice president, and a secretary from a group of 5 people?

• 12

• 60

• 15

• 125

Brianna’s school day consists of six classes. How many different ways can her schedule be arranged?

• 720

• 36

• 100

• 500

Sarah plays softball over the summer.  If there are 10 players on the team, how many ways can the coach make a batting order that includes all players?

• 1
• 3628800
• 100
• 1814400

solve the following permutation: The student body of 40 students wants to elect a president, vice president, secretary, and treasurer.

• 2479595

• 2140140

• 2193360

• 4386720

₁₂C₃

• 0

• 1

• 220

• 1140

At Papa John's you are deciding on what you want for dinner. The pizza offers 8 different meats, 4 different cheeses, 3 different crust types and 2 different sauces. How many different pizzas do you have to choose from?

• 32

• 192

• 40,320

• 51,200

What does the P stand for in _nP_r?

• Partners

• Positions

• Papers

• Permutations